Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000
B. $300,000
C. $270,000
D. $239,400
Answer: D
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A.
B.
C.
D.
Use a system of linear equations to solve the problem.A chemist needs 130 milliliters of a 68% solution but has only 36% and 88% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
A. 55 mL of 36%; 80 mL of 88% B. 80 mL of 36%; 50 mL of 88% C. 55 mL of 36%; 75 mL of 88% D. 50 mL of 36%; 80 mL of 88%
Solve the problem.A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish shown has a diameter of 10 feet and a depth of 4 feet. The parabola is positioned in a rectangular coordinate system with its vertex at the origin. The receiver should be placed at the focus The value of p is given by the equation
How far from the base of the dish should the receiver be placed?
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A. 1 feet from the base
B. feet from the base
C. feet from the base
D. 6 feet from the base
Graph the linear inequality in two variables.x + y < -2
A.
B.
C.
D.